%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:47:25 PM UTC 2026
% Result : Unsatisfiable 2.01s 0.72s
% Output : CNFRefutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of clauses : 133 ( 31 unt; 66 nHn; 114 RR)
% Number of literals : 351 ( 108 equ; 122 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 122 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_9,axiom,
( ~ gt(plus(X1,n1),plus(X2,n1))
| gt(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_9) ).
cnf(axiom_13,axiom,
( ~ gt(X2,X3)
| ~ gt(X1,X2)
| gt(X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_13) ).
cnf(axiom_19,axiom,
plus(n0,X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_19) ).
cnf(quest_3,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
cnf(axiom_26,axiom,
( ~ p_Reset(X1)
| int_level(plus(X1,n1)) = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_26) ).
cnf(axiom_15,axiom,
( gt(X1,n0)
| X1 = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_15) ).
cnf(axiom_16,axiom,
( X1 = plus(y_27(X1),n1)
| X1 = n0 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_16) ).
cnf(axiom_17,axiom,
~ gt(X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_17) ).
cnf(quest_2,negated_conjecture,
gt(level(plus(x_139,n1)),fifo_length),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
cnf(axiom_21,axiom,
level(X1) = int_level(X1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_21) ).
cnf(axiom_3,axiom,
( ~ gt(X1,n0)
| gt(X1,minus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_3) ).
cnf(quest_1,negated_conjecture,
~ gt(level(x_139),fifo_length),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
cnf(axiom_8,axiom,
( ~ gt(X1,X2)
| gt(plus(X1,n1),plus(X2,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_8) ).
cnf(axiom_35,axiom,
( ~ gt(fifo_length,int_level(X1))
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| p_Rd(X1)
| p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_35) ).
cnf(axiom_82,axiom,
( int_level(plus(X1,n1)) = int_level(X1)
| p_Rd(X1)
| p_Wr(X1)
| p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_82) ).
cnf(axiom_12,axiom,
( gt(X2,X1)
| X2 = X1
| gt(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_12) ).
cnf(axiom_53,axiom,
( ~ gt(int_level(X1),n0)
| ~ p_Rd(X1)
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_53) ).
cnf(axiom_1,axiom,
plus(X1,n1) != n0,
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_1) ).
cnf(axiom_71,axiom,
( ~ gt(int_level(X1),n0)
| ~ p_Rd(X1)
| int_level(plus(X1,n1)) = minus(int_level(X1),n1)
| p_Wr(X1)
| p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_71) ).
cnf(axiom_44,axiom,
( ~ p_Wr(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| gt(fifo_length,int_level(X1))
| p_Rd(X1)
| p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_44) ).
cnf(axiom_10,axiom,
( ~ gt(plus(X1,n1),X2)
| X2 = X1
| gt(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_10) ).
cnf(axiom_59,axiom,
( ~ p_Rd(X1)
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| gt(int_level(X1),n0)
| p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_59) ).
cnf(axiom_18,axiom,
( plus(X1,n1) != plus(X2,n1)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_18) ).
cnf(axiom_78,axiom,
( ~ p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| gt(int_level(X1),n0)
| p_Wr(X1)
| p_Reset(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV003-0.ax',axiom_78) ).
cnf(c_0_24,plain,
( ~ gt(plus(X1,n1),plus(X2,n1))
| gt(X1,X2) ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
cnf(c_0_25,plain,
( ~ gt(X2,X3)
| ~ gt(X1,X2)
| gt(X1,X3) ),
inference(fof_simplification,[status(thm)],[axiom_13]) ).
cnf(c_0_26,plain,
( ~ gt(plus(X1,n1),plus(X2,n1))
| gt(X1,X2) ),
c_0_24 ).
cnf(c_0_27,axiom,
plus(n0,X1) = X1,
axiom_19 ).
cnf(c_0_28,plain,
( ~ gt(X2,X3)
| ~ gt(X1,X2)
| gt(X1,X3) ),
c_0_25 ).
cnf(c_0_29,negated_conjecture,
gt(fifo_length,n0),
quest_3 ).
cnf(c_0_30,plain,
( ~ p_Reset(X1)
| int_level(plus(X1,n1)) = n0 ),
inference(fof_simplification,[status(thm)],[axiom_26]) ).
cnf(c_0_31,axiom,
( gt(X1,n0)
| X1 = n0 ),
axiom_15 ).
cnf(c_0_32,plain,
( ~ gt(n1,plus(X1,n1))
| gt(n0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,axiom,
( X1 = plus(y_27(X1),n1)
| X1 = n0 ),
axiom_16 ).
cnf(c_0_34,plain,
~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[axiom_17]) ).
cnf(c_0_35,negated_conjecture,
( ~ gt(X1,fifo_length)
| gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
gt(level(plus(x_139,n1)),fifo_length),
quest_2 ).
cnf(c_0_37,plain,
( ~ p_Reset(X1)
| int_level(plus(X1,n1)) = n0 ),
c_0_30 ).
cnf(c_0_38,axiom,
level(X1) = int_level(X1),
axiom_21 ).
cnf(c_0_39,plain,
( ~ gt(X1,n0)
| gt(X1,minus(X1,n1)) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_40,negated_conjecture,
~ gt(level(x_139),fifo_length),
inference(fof_simplification,[status(thm)],[quest_1]) ).
cnf(c_0_41,plain,
( ~ gt(X2,X1)
| gt(X2,n0)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_28,c_0_31]) ).
cnf(c_0_42,plain,
( ~ gt(n1,X1)
| gt(n0,y_27(X1))
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,plain,
~ gt(X1,X1),
c_0_34 ).
cnf(c_0_44,plain,
( ~ gt(X1,X2)
| gt(plus(X1,n1),plus(X2,n1)) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
cnf(c_0_45,plain,
( ~ gt(fifo_length,int_level(X1))
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| p_Rd(X1)
| p_Reset(X1) ),
inference(fof_simplification,[status(thm)],[axiom_35]) ).
cnf(c_0_46,axiom,
( int_level(plus(X1,n1)) = int_level(X1)
| p_Rd(X1)
| p_Wr(X1)
| p_Reset(X1) ),
axiom_82 ).
cnf(c_0_47,negated_conjecture,
gt(level(plus(x_139,n1)),n0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_48,plain,
( ~ p_Reset(X1)
| level(plus(X1,n1)) = n0 ),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_49,plain,
( ~ gt(X1,n0)
| gt(X1,minus(X1,n1)) ),
c_0_39 ).
cnf(c_0_50,negated_conjecture,
~ gt(level(x_139),fifo_length),
c_0_40 ).
cnf(c_0_51,axiom,
( gt(X2,X1)
| X2 = X1
| gt(X1,X2) ),
axiom_12 ).
cnf(c_0_52,plain,
( ~ gt(int_level(X1),n0)
| ~ p_Rd(X1)
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| p_Reset(X1) ),
inference(fof_simplification,[status(thm)],[axiom_53]) ).
cnf(c_0_53,plain,
( ~ gt(n1,X1)
| X1 = n0
| y_27(X1) = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_54,plain,
( ~ gt(X1,X2)
| gt(plus(X1,n1),plus(X2,n1)) ),
c_0_44 ).
cnf(c_0_55,plain,
plus(X1,n1) != n0,
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_56,plain,
( ~ gt(fifo_length,int_level(X1))
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| p_Rd(X1)
| p_Reset(X1) ),
c_0_45 ).
cnf(c_0_57,plain,
( p_Rd(X1)
| p_Wr(X1)
| p_Reset(X1)
| level(plus(X1,n1)) = level(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_38]),c_0_38]) ).
cnf(c_0_58,negated_conjecture,
~ p_Reset(x_139),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_43]) ).
cnf(c_0_59,plain,
( ~ gt(X1,X2)
| ~ gt(X2,n0)
| gt(X1,minus(X2,n1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
( gt(fifo_length,level(x_139))
| level(x_139) = fifo_length ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_61,plain,
( ~ gt(int_level(X1),n0)
| ~ p_Rd(X1)
| int_level(plus(X1,n1)) = minus(int_level(X1),n1)
| p_Wr(X1)
| p_Reset(X1) ),
inference(fof_simplification,[status(thm)],[axiom_71]) ).
cnf(c_0_62,plain,
( ~ gt(int_level(X1),n0)
| ~ p_Rd(X1)
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| p_Reset(X1) ),
c_0_52 ).
cnf(c_0_63,plain,
( ~ gt(n1,X1)
| X1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_43]) ).
cnf(c_0_64,plain,
( ~ gt(n0,X1)
| gt(n1,plus(X1,n1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_65,plain,
plus(X1,n1) != n0,
c_0_55 ).
cnf(c_0_66,plain,
( ~ gt(fifo_length,level(X1))
| ~ p_Wr(X1)
| p_Rd(X1)
| p_Reset(X1)
| level(plus(X1,n1)) = plus(level(X1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_67,negated_conjecture,
( p_Wr(x_139)
| p_Rd(x_139) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_57]),c_0_50]),c_0_58]) ).
cnf(c_0_68,plain,
( ~ gt(X1,n0)
| ~ gt(minus(X1,n1),X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( ~ gt(X1,fifo_length)
| gt(X1,level(x_139))
| level(x_139) = fifo_length ),
inference(spm,[status(thm)],[c_0_28,c_0_60]) ).
cnf(c_0_70,plain,
( ~ gt(int_level(X1),n0)
| ~ p_Rd(X1)
| int_level(plus(X1,n1)) = minus(int_level(X1),n1)
| p_Wr(X1)
| p_Reset(X1) ),
c_0_61 ).
cnf(c_0_71,plain,
( ~ p_Wr(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| gt(fifo_length,int_level(X1))
| p_Rd(X1)
| p_Reset(X1) ),
inference(fof_simplification,[status(thm)],[axiom_44]) ).
cnf(c_0_72,plain,
( ~ gt(level(X1),n0)
| ~ p_Rd(X1)
| ~ p_Wr(X1)
| p_Reset(X1)
| level(plus(X1,n1)) = level(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_73,plain,
~ gt(n0,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_74,plain,
( ~ gt(plus(X1,n1),X2)
| X2 = X1
| gt(X1,X2) ),
inference(fof_simplification,[status(thm)],[axiom_10]) ).
cnf(c_0_75,negated_conjecture,
( p_Rd(x_139)
| level(x_139) = fifo_length
| level(plus(x_139,n1)) = plus(level(x_139),n1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_60]),c_0_58]),c_0_67]) ).
cnf(c_0_76,negated_conjecture,
( ~ gt(level(x_139),n0)
| ~ gt(minus(level(x_139),n1),fifo_length)
| level(x_139) = fifo_length ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,plain,
( ~ gt(level(X1),n0)
| ~ p_Rd(X1)
| p_Wr(X1)
| p_Reset(X1)
| level(plus(X1,n1)) = minus(level(X1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_78,plain,
( ~ p_Wr(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| gt(fifo_length,int_level(X1))
| p_Rd(X1)
| p_Reset(X1) ),
c_0_71 ).
cnf(c_0_79,plain,
( ~ p_Wr(X1)
| ~ p_Rd(X1)
| p_Reset(X1)
| level(X1) = n0
| level(plus(X1,n1)) = level(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_51]),c_0_73]) ).
cnf(c_0_80,plain,
( ~ gt(plus(X1,n1),X2)
| X2 = X1
| gt(X1,X2) ),
c_0_74 ).
cnf(c_0_81,negated_conjecture,
( gt(plus(level(x_139),n1),fifo_length)
| p_Rd(x_139)
| level(x_139) = fifo_length ),
inference(spm,[status(thm)],[c_0_36,c_0_75]) ).
cnf(c_0_82,negated_conjecture,
( ~ gt(level(x_139),n0)
| p_Wr(x_139)
| level(x_139) = fifo_length ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_36])]),c_0_58]),c_0_67]) ).
cnf(c_0_83,plain,
( ~ gt(X1,n0)
| gt(plus(X1,n1),n1) ),
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_84,plain,
( ~ p_Wr(X1)
| gt(fifo_length,level(X1))
| p_Rd(X1)
| p_Reset(X1)
| level(plus(X1,n1)) = level(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_85,negated_conjecture,
( ~ p_Wr(x_139)
| ~ p_Rd(x_139)
| level(x_139) = n0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_79]),c_0_50]),c_0_58]) ).
cnf(c_0_86,negated_conjecture,
( p_Rd(x_139)
| level(x_139) = fifo_length ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_50]) ).
cnf(c_0_87,negated_conjecture,
( p_Wr(x_139)
| level(x_139) = fifo_length
| level(x_139) = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_51]),c_0_73]) ).
cnf(c_0_88,plain,
( ~ gt(y_27(X1),n0)
| gt(X1,n1)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_83,c_0_33]) ).
cnf(c_0_89,plain,
( gt(fifo_length,level(X1))
| p_Reset(X1)
| p_Rd(X1)
| level(plus(X1,n1)) = level(X1) ),
inference(csr,[status(thm)],[c_0_84,c_0_57]) ).
cnf(c_0_90,negated_conjecture,
( level(x_139) = n0
| level(x_139) = fifo_length ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).
cnf(c_0_91,plain,
( ~ gt(plus(X1,n1),n1)
| gt(X1,n0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_92,plain,
( ~ gt(plus(X2,n1),X1)
| gt(X2,y_27(X1))
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
cnf(c_0_93,plain,
( ~ gt(X1,plus(X2,n1))
| gt(y_27(X1),X2)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
cnf(c_0_94,plain,
( gt(X1,n1)
| X1 = n0
| y_27(X1) = n0 ),
inference(spm,[status(thm)],[c_0_88,c_0_31]) ).
cnf(c_0_95,plain,
( ~ p_Rd(X1)
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| gt(int_level(X1),n0)
| p_Reset(X1) ),
inference(fof_simplification,[status(thm)],[axiom_59]) ).
cnf(c_0_96,negated_conjecture,
( p_Rd(x_139)
| level(x_139) = n0
| level(plus(x_139,n1)) = fifo_length ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_58]),c_0_43]) ).
cnf(c_0_97,plain,
( ~ gt(X1,n1)
| gt(y_27(X1),n0)
| X1 = n0 ),
inference(spm,[status(thm)],[c_0_91,c_0_33]) ).
cnf(c_0_98,plain,
( ~ gt(plus(n1,n1),X1)
| X1 = n0
| y_27(X1) = n0 ),
inference(spm,[status(thm)],[c_0_63,c_0_92]) ).
cnf(c_0_99,plain,
( ~ gt(X1,plus(X2,n1))
| gt(X1,n1)
| X1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_73]) ).
cnf(c_0_100,plain,
( ~ p_Rd(X1)
| ~ p_Wr(X1)
| int_level(plus(X1,n1)) = plus(int_level(X1),n1)
| gt(int_level(X1),n0)
| p_Reset(X1) ),
c_0_95 ).
cnf(c_0_101,negated_conjecture,
( p_Rd(x_139)
| level(x_139) = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_96]),c_0_43]) ).
cnf(c_0_102,plain,
( ~ gt(X1,n1)
| ~ gt(plus(n1,n1),X1)
| X1 = n0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_43]) ).
cnf(c_0_103,plain,
( ~ gt(X1,X2)
| gt(plus(X1,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_54]),c_0_65]) ).
cnf(c_0_104,plain,
( ~ p_Rd(X1)
| ~ p_Wr(X1)
| gt(level(X1),n0)
| p_Reset(X1)
| level(plus(X1,n1)) = plus(level(X1),n1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_105,negated_conjecture,
( ~ p_Wr(x_139)
| level(x_139) = n0 ),
inference(spm,[status(thm)],[c_0_85,c_0_101]) ).
cnf(c_0_106,plain,
( ~ gt(n1,X1)
| ~ gt(plus(X1,n1),n1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_54]),c_0_65]) ).
cnf(c_0_107,negated_conjecture,
gt(plus(fifo_length,n1),n1),
inference(spm,[status(thm)],[c_0_103,c_0_29]) ).
cnf(c_0_108,plain,
( plus(X1,n1) != plus(X2,n1)
| X1 = X2 ),
inference(fof_simplification,[status(thm)],[axiom_18]) ).
cnf(c_0_109,plain,
( gt(X1,n1)
| n1 = X1
| X1 = n0 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_94]),c_0_27]) ).
cnf(c_0_110,negated_conjecture,
( ~ p_Wr(x_139)
| ~ p_Rd(x_139)
| level(plus(x_139,n1)) = n1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_27]),c_0_58]),c_0_43]) ).
cnf(c_0_111,negated_conjecture,
~ gt(n1,fifo_length),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,negated_conjecture,
( p_Rd(x_139)
| level(plus(x_139,n1)) = n1 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_105]),c_0_27]),c_0_29])]),c_0_58]),c_0_67]) ).
cnf(c_0_113,plain,
( plus(X1,n1) != plus(X2,n1)
| X1 = X2 ),
c_0_108 ).
cnf(c_0_114,plain,
( gt(X1,n0)
| plus(X1,n1) = n1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_109]),c_0_65]) ).
cnf(c_0_115,negated_conjecture,
( ~ p_Wr(x_139)
| ~ p_Rd(x_139) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_110]),c_0_111]) ).
cnf(c_0_116,negated_conjecture,
p_Rd(x_139),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_112]),c_0_111]) ).
cnf(c_0_117,plain,
y_27(plus(X1,n1)) = X1,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_33])]),c_0_65]) ).
cnf(c_0_118,plain,
( ~ p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| gt(int_level(X1),n0)
| p_Wr(X1)
| p_Reset(X1) ),
inference(fof_simplification,[status(thm)],[axiom_78]) ).
cnf(c_0_119,negated_conjecture,
( p_Wr(x_139)
| level(x_139) = fifo_length
| plus(level(x_139),n1) = n1 ),
inference(spm,[status(thm)],[c_0_82,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
~ p_Wr(x_139),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116])]) ).
cnf(c_0_121,plain,
y_27(n1) = n0,
inference(spm,[status(thm)],[c_0_117,c_0_27]) ).
cnf(c_0_122,plain,
n0 != n1,
inference(spm,[status(thm)],[c_0_65,c_0_27]) ).
cnf(c_0_123,plain,
( ~ p_Rd(X1)
| int_level(plus(X1,n1)) = int_level(X1)
| gt(int_level(X1),n0)
| p_Wr(X1)
| p_Reset(X1) ),
c_0_118 ).
cnf(c_0_124,negated_conjecture,
( level(x_139) = fifo_length
| plus(level(x_139),n1) = n1 ),
inference(sr,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
~ gt(n1,plus(X1,n1)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_121]),c_0_122]),c_0_73]) ).
cnf(c_0_126,plain,
( ~ p_Rd(X1)
| gt(level(X1),n0)
| p_Wr(X1)
| p_Reset(X1)
| level(plus(X1,n1)) = level(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_38]),c_0_38]),c_0_38]) ).
cnf(c_0_127,negated_conjecture,
( ~ gt(level(x_139),X1)
| level(x_139) = fifo_length ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_124]),c_0_125]) ).
cnf(c_0_128,plain,
( gt(level(X1),n0)
| p_Reset(X1)
| p_Wr(X1)
| level(plus(X1,n1)) = level(X1) ),
inference(csr,[status(thm)],[c_0_126,c_0_57]) ).
cnf(c_0_129,negated_conjecture,
( level(x_139) = fifo_length
| level(plus(x_139,n1)) = level(x_139) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_120]),c_0_58]) ).
cnf(c_0_130,negated_conjecture,
level(x_139) = fifo_length,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_129]),c_0_50]) ).
cnf(c_0_131,negated_conjecture,
minus(fifo_length,n1) = level(plus(x_139,n1)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_130]),c_0_116]),c_0_29])]),c_0_120]),c_0_58]) ).
cnf(c_0_132,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_131]),c_0_36]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:49:05 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.01/0.72 % Version: 3.5.1
% 2.01/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.72 % Starting new_bool_3 with 300s (1) cores
% 2.01/0.72 % Starting new_bool_1 with 300s (1) cores
% 2.01/0.72 % Starting sh5l with 300s (1) cores
% 2.01/0.72 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1470029 completed with status 0
% 2.01/0.72 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.01/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.72 % No SInE strategy applied
% 2.01/0.72 % Search class: FGHSS-FFMS21-SFFFFFNN
% 2.01/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.01/0.72 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.01/0.72 % Starting new_bool_3 with 136s (1) cores
% 2.01/0.72 % Starting new_bool_1 with 136s (1) cores
% 2.01/0.72 % SubtermCWHack with pid 1470035 completed with status 0
% 2.01/0.72 % Result found by SubtermCWHack
% 2.01/0.72 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.01/0.72 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.01/0.72 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.01/0.72 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.01/0.72 % No SInE strategy applied
% 2.01/0.72 % Search class: FGHSS-FFMS21-SFFFFFNN
% 2.01/0.72 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.01/0.72 % Starting SubtermCWHack with 136s (1) cores
% 2.01/0.72 % Preprocessing time : 0.002 s
% 2.01/0.72
% 2.01/0.72 % Proof found!
% 2.01/0.72 % SZS status Unsatisfiable
% 2.01/0.72 % SZS output start CNFRefutation
% See solution above
% 2.01/0.72 % Parsed axioms : 93
% 2.01/0.72 % Removed by relevancy pruning/SinE : 0
% 2.01/0.72 % Initial clauses : 93
% 2.01/0.72 % Removed in clause preprocessing : 1
% 2.01/0.72 % Initial clauses in saturation : 92
% 2.01/0.72 % Processed clauses : 2589
% 2.01/0.72 % ...of these trivial : 17
% 2.01/0.72 % ...subsumed : 1890
% 2.01/0.72 % ...remaining for further processing : 682
% 2.01/0.72 % Other redundant clauses eliminated : 20
% 2.01/0.72 % Clauses deleted for lack of memory : 0
% 2.01/0.72 % Backward-subsumed : 141
% 2.01/0.72 % Backward-rewritten : 55
% 2.01/0.72 % Generated clauses : 18686
% 2.01/0.72 % ...of the previous two non-redundant : 12212
% 2.01/0.72 % ...aggressively subsumed : 0
% 2.01/0.72 % Contextual simplify-reflections : 74
% 2.01/0.72 % Paramodulations : 18635
% 2.01/0.72 % Factorizations : 26
% 2.01/0.72 % NegExts : 0
% 2.01/0.72 % Equation resolutions : 21
% 2.01/0.72 % Disequality decompositions : 0
% 2.01/0.72 % Total rewrite steps : 7327
% 2.01/0.72 % ...of those cached : 7159
% 2.01/0.72 % Propositional unsat checks : 0
% 2.01/0.72 % Propositional check models : 0
% 2.01/0.72 % Propositional check unsatisfiable : 0
% 2.01/0.72 % Propositional clauses : 0
% 2.01/0.72 % Propositional clauses after purity: 0
% 2.01/0.72 % Propositional unsat core size : 0
% 2.01/0.72 % Propositional preprocessing time : 0.000
% 2.01/0.72 % Propositional encoding time : 0.000
% 2.01/0.72 % Propositional solver time : 0.000
% 2.01/0.72 % Success case prop preproc time : 0.000
% 2.01/0.72 % Success case prop encoding time : 0.000
% 2.01/0.72 % Success case prop solver time : 0.000
% 2.01/0.72 % Current number of processed clauses : 479
% 2.01/0.72 % Positive orientable unit clauses : 24
% 2.01/0.72 % Positive unorientable unit clauses: 0
% 2.01/0.72 % Negative unit clauses : 15
% 2.01/0.72 % Non-unit-clauses : 440
% 2.01/0.72 % Current number of unprocessed clauses: 9378
% 2.01/0.72 % ...number of literals in the above : 46011
% 2.01/0.72 % Current number of archived formulas : 0
% 2.01/0.72 % Current number of archived clauses : 201
% 2.01/0.72 % Clause-clause subsumption calls (NU) : 41784
% 2.01/0.72 % Rec. Clause-clause subsumption calls : 13277
% 2.01/0.72 % Non-unit clause-clause subsumptions : 1544
% 2.01/0.72 % Unit Clause-clause subsumption calls : 1048
% 2.01/0.72 % Rewrite failures with RHS unbound : 0
% 2.01/0.72 % BW rewrite match attempts : 62
% 2.01/0.72 % BW rewrite match successes : 18
% 2.01/0.72 % Condensation attempts : 0
% 2.01/0.72 % Condensation successes : 0
% 2.01/0.72 % Termbank termtop insertions : 252903
% 2.01/0.72 % Search garbage collected termcells : 188
% 2.01/0.72
% 2.01/0.72 % -------------------------------------------------
% 2.01/0.72 % User time : 0.285 s
% 2.01/0.72 % System time : 0.010 s
% 2.01/0.72 % Total time : 0.295 s
% 2.01/0.72 % Maximum resident set size: 3704 pages
% 2.01/0.72
% 2.01/0.72 % -------------------------------------------------
% 2.01/0.72 % User time : 1.335 s
% 2.01/0.72 % System time : 0.049 s
% 2.01/0.72 % Total time : 1.384 s
% 2.01/0.72 % Maximum resident set size: 4608 pages
% 2.01/0.72 % E exiting
%------------------------------------------------------------------------------